Distance = SQRT(x^2+y^2)
x = 4 - (-2) = 6
y = 3 - 2 = 1
distance = SQRT(6^2 + 1^2) = SQRT(36+1) = SQRT(37) = 6.1
Answer:
(x, y) = (1, 1/3)
Step-by-step explanation:
The x-coefficient in the first equation is -2 times that in the second equation, so adding twice the second equation to the first will eliminate x:
(4x -9y) +2(-2x +3y) = (1) +2(-1)
-3y = -1 . . . . simplify
y = 1/3 . . . . . divide by -3
The y-coefficient in the first equation is -3 times the y-coefficient in the second equation, so adding 3 times the second equation to the first will eliminate y:
(4x -9y) +3(-2x +3y) = (1) +3(-1)
-2x = -2 . . . . . . simplify
x = 1 . . . . . . . . . divide by -3
The solution is (x, y) = (1, 1/3).
Answer:
175 ride the bus
Step-by-step explanation:
28% of 1250 = 350
350 ÷ 2 = 175
Answer:
4/(3(x-2))
Step-by-step explanation:
3x^2-21x+30=3(x^2-7x+10)=3(x-5)(x-2)
3x-15=3(x-5)
----------------------------
So the common denominator must be 3(x-5)(x-2)
2(x-2)=2x-4
Add the numerators,
(2x-16)+(2x-4)=4x-16-4=4x-20
-----------------
(4x-20)/[3(x-5)(x-2)]
simplify 4x-20 into 4(x-5)
cancel out the (x-5)'s for both the denominator and the numerator
4/[3(x-2)]
Scale factor of area is the square of the scale factor of length
The required values are;
- The length of one sides of the garage was originally approximately <u>19.2 ft.</u>
- The length of one of the sides of the garage is now approximately <u>23.6 feet</u> long
- The percentage increase in length is approximately <u>22.5 %</u>
Reason:
The given parameters are;
The area of the square garage = 370 ft.²
The area of the new garage has 50% more space
Required;
Part A
The initial side length
The initial side length, given to the nearest tenth, <em>s</em>, is the square root of the area, <em>A</em>, given as follows;
- s = √(370 ft.²) ≈ 19.2 ft.
Part B
The side was increased by 50%, to give,
370 + 0.5×370 = 555
The new area of the garage = 555 ft.²
The side length of the new garage, s = √(555) ≈ 23.6
- The side of the garage now is 23.6 ft.
Part C
The percentage increase is given as follows;


- The percentage increase in length of the side of the garage is approximately 22.5 %
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brainly.com/question/7639412